We study certain families of ODE control systems that are parametrized by their state space dimension N. Our goal is to consider the kinetic limit as N tends to infinity and to study if and how structural properties and invariant manifolds of the ordinary differential equation(ODE) systems carry over to the limiting partial differential equation (PDE). We will first investigate the autonomous case and then we will focus on closed loop control. Admissible feedback laws will be selected according to sparsity criteria. We plan to use and develop bothnumerical and symbolic software to tackle such problems.
DFG Programme
Collaborative Research Centres
